A number on subtracting $15$ from it, reduces to its $80 %$ , what is $40 %$ of that number?

40

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35

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80

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30

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Solution

The correct option is D $30$
Let the number be $x$
According to question, we have
$x - 15 = \frac{80 x}{100}$
$\Rightarrow x - 15 = \frac{4 x}{5}$
$\Rightarrow 5 (x - 15) = 4 x$
$\Rightarrow 5 x - 75 = 4 x$
$\Rightarrow x = 75$
Therefore, required number is $75 \times \frac{40}{100}$ $= 30$ .

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A number on subtracting 15 from it, reduces to its 80%, what is 40% of that number?

The correct option is D 30Let the number be xAccording to question, we have x−15=80x100⇒x−15=4x5⇒5(x−15)=4x⇒5x−75=4x⇒x=75Therefore, required number is 75×40100 =30.

A number on subtracting $15$ from it, reduces to its $80 %$ , what is $40 %$ of that number?

The correct option is D $30$
Let the number be $x$
According to question, we have
$x - 15 = \frac{80 x}{100}$
$\Rightarrow x - 15 = \frac{4 x}{5}$
$\Rightarrow 5 (x - 15) = 4 x$
$\Rightarrow 5 x - 75 = 4 x$
$\Rightarrow x = 75$
Therefore, required number is $75 \times \frac{40}{100}$ $= 30$ .